GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Computer Methods in Applied Mechanics and Engineering
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
Fast iterative solution of stabilised Stokes systems, part I: using simple diagonal preconditioners
SIAM Journal on Numerical Analysis
A flexible inner-outer preconditioned GMRES algorithm
SIAM Journal on Scientific Computing
Inexact and preconditioned Uzawa algorithms for saddle point problems
SIAM Journal on Numerical Analysis - Special issue: the articles in this issue are dedicated to Seymour V. Parter
Fast iterative solution of stabilised Stokes systems part II: using general block preconditioners
SIAM Journal on Numerical Analysis
Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations
SIAM Journal on Scientific Computing - Special issue on iterative methods in numerical linear algebra; selected papers from the Colorado conference
Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
SIAM Journal on Numerical Analysis
An Iteration for Indefinite Systems and Its Application to the Navier--Stokes Equations
SIAM Journal on Scientific Computing
Splitting Techniques for the Unsteady Stokes Equations
SIAM Journal on Numerical Analysis
Preconditioning for the Steady-State Navier--Stokes Equations with Low Viscosity
SIAM Journal on Scientific Computing
Spectral methods in MatLab
Uzawa type algorithms for nonsymmetric saddle point problems
Mathematics of Computation
Constraint Preconditioning for Indefinite Linear Systems
SIAM Journal on Matrix Analysis and Applications
A Note on Preconditioning for Indefinite Linear Systems
SIAM Journal on Scientific Computing
A Note on Preconditioning Nonsymmetric Matrices
SIAM Journal on Scientific Computing
A Note on Constraint Preconditioning for Nonsymmetric Indefinite Matrices
SIAM Journal on Matrix Analysis and Applications
Fast uzawa algorithm for generalized saddle point problems
Applied Numerical Mathematics
Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
SIAM Journal on Scientific Computing
A Preconditioner for Generalized Saddle Point Problems
SIAM Journal on Matrix Analysis and Applications
Inexact Matrix-Vector Products in Krylov Methods for Solving Linear Systems: A Relaxation Strategy
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Scientific Computing
On Inexact Preconditioners for Nonsymmetric Matrices
SIAM Journal on Scientific Computing
Approximate Factorization Constraint Preconditioners for Saddle-Point Matrices
SIAM Journal on Scientific Computing
A Class of Nonsymmetric Preconditioners for Saddle Point Problems
SIAM Journal on Matrix Analysis and Applications
Preconditioners for Generalized Saddle-Point Problems
SIAM Journal on Numerical Analysis
Constraint-Style Preconditioners for Regularized Saddle Point Problems
SIAM Journal on Matrix Analysis and Applications
Applied Numerical Mathematics
An alternating preconditioner for saddle point problems
Journal of Computational and Applied Mathematics
Indefinite block triangular preconditioner for symmetric saddle point problems
Calcolo: a quarterly on numerical analysis and theory of computation
Eigenvalue estimates of an indefinite block triangular preconditioner for saddle point problems
Journal of Computational and Applied Mathematics
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We consider constraint preconditioners for block two-by-two generalized saddle point problems, this is the general nonsymmetric, nonsingular case where the (1,2) block need not equal the transposed (2,1) block and the (2,2) block may not be zero. The constraint preconditioners are derived from splittings of the (1,1) block of the generalized saddle point matrix. We show that fast convergence of the preconditioned iterative methods depends mainly on the quality of the splittings and on the effectively solving for the Schur complement systems which arise from the implementation of the constraint preconditioners. Results concerning the eigensolution distribution of the preconditioned matrix and its minimal polynomial are given. To demonstrate the effectiveness of the constraint Schur complement preconditioners we show convergence results and spectra for two model Navier-Stokes problems.